Write the equation of the line fully simplified slope-intercept form.

HELP ME PLEASE

The expected value of a $2 ticket is $0.63

To calculate the expected value of a $2 ticket, we need to multiply the probability of winning by the value of the prize, then sum those products:

The Probability of winning the grand prize = 1/2000

Product: (1/2000) x $500 = $0.25

The Probability of winning a secondary prize: 3/2000

Product: (3/2000) x $200 = $0.30

The Probability of winning a third level prize: 8/2000

Product: (8/2000) x $20 = $0.08

The sum of the products:

$0.25 + $0.30 + $0.08 = $0.63

So the expected value of a $2 ticket is $0.63, meaning that on average, a person can expect to win $0.63 for every $2 they spend on a ticket.

The charity is expected to make a profit, which is why the answer is negative.

That is -$2 + $0.63 = -$1.37

So the expected profit for the charity per ticket sold is -$1.37, which is approximately the same as the given answer of negative $1.358(rounding off)

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Answer:

160

Step-by-step explanation:

If 5 people = 8 eggs

1 person = 8÷5 = 1.6 eggs

100×1.6= 160 eggs

Answer:

160 eggs

Step-by-step explanation:

First find how many sets of 5 (people) we need to get to a 100

-We know 100 divided by 5 is 20

So we need 20 sets of 5 (people)

Now, 20 times 8 is 160 OR we could say

for 20 groups of 5 people, we need 160 eggs

Flint is starting a business. Before starting to sell anything, he bought fixtures for £1,200, a van for £6,000 and an inventory of goods for £2,800. Although he has paid in full for the fixtures and the van, he still owes £1,600 for some of the inventory. B. Rub lent him £2,500. After the above, Flint has £200 in the business bank account and £175 cash in hand. Total capital is £10,375

What do you mean by capital?

Any employed financial asset might be considered capital. A company's capital is represented on its balance sheet as the earnings from its ongoing operations. The money in a bank account, the proceeds from the sale of stock shares, and the proceeds from the sale of bonds are a few examples.

A factory and its equipment, intellectual property like patents, or the financial assets of a company or a person are all examples of things that provide value or benefit to their owners and fall within the broad definition of capital.

Fixtures= £1,200, van= £6,000, inventory of goods= £2,800, cash =£375

So, Total assets= £10,375

Payable=  £1,600, loan from Rub= £2,500, Balancing figure= £6,275

Total liabilities= £10,375

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There is a 75% chance that it will rain here or on Mars is false because there is a 25% chance that it will rain here and not on Mars.  

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

There is a 50% chance of rain here and a 25% chance of rain on Mars. Therefore, there is a 75% chance that it will rain here or on Mars.

The probability that it will rain here:

P(rain here) = 50%

P(rain on mars) 50%

P(not rain here) = 100 - 50 = 50%

P(not rain on mars) = 100 - 50 = 50%

P(rain here and not on mars) = 0.5×0.5 = 0.25 or 25%

Thus, there is a 75% chance that it will rain here or on Mars is false because there is a 25% chance that it will rain here and not on Mars.  

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Answer:

4

Am I right

Step-by-step explanation:

6-3x=5x-10x+14

6- 3x= - 5x =14

-3x +5x =14 - 6

2x =8

Divide by 2

X=4

The relationship between the plane and the cone is expressed by the statement that it is parallel to the base of the cone.

Given,

A circle is a closed, curved shape with two dimensions in geometry, alternatively we might say that a circle is a spherical form without borders or edges.

When a cone is cut by a plane that is parallel to the cone's base, a circle is the resultant cross-section.

The form that results from a plane cutting a cone at an angle such that it misses the base or the vertex is called an ellipse. (As in the figure.)

Hence When a plane cuts through a cone and the plane is parallel to the base of the cone, the result is a circle.

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Answer:

I wouldn't advise putting answers from test on brainly its against the honor of code and you will get warned.

Step-by-step explanation:

Answer:

\(\frac{1}{15}\) cup of flour

Step-by-step explanation:

5 rolls = \(\frac{1}{3}\) cup

? × 5 = \(\frac{1}{3}\)

\(\frac{1}{3}\) ÷ 5 = ?

\(\frac{1}{3}\) ÷ \(\frac{5}{1}\) = \(\frac{1}{3}\) × \(\frac{1}{5}\) = \(\frac{1}{15}\)

Answer: that's crazy

Step-by-step explanation: because i said so

Answer:

now I know my ABC's, next time won't you sing with me.

Step-by-step explanation:

the song comes after the letter Z.

Answer:

The sum of the interior angle measures of a regular hexagon is 720°.

Step-by-step explanation:

To find the sum of the interior angle measures of a regular hexagon, we can use the fact that any polygon can be divided into triangles. The formula to find the sum of the interior angles of any polygon with n sides is:

Sum of interior angles = (n - 2) × 180°

In the case of a hexagon, n = 6. So, we can plug this value into the formula:

Sum of interior angles = (6 - 2) × 180° = 4 × 180° = 720°

The sum of the interior angle measures of a regular hexagon is 720°.

To explain this using triangles, let's divide the hexagon into triangles. A hexagon can be divided into four triangles by drawing three diagonals from one vertex to the three non-adjacent vertices. Since the sum of the interior angles of each triangle is 180°, and we have four triangles:

Sum of interior angles of hexagon = 4 × 180° = 720°

The sum of the interior angle measures of a regular hexagon is 720°.

Answer:

in total there are 225 books if that's what you're asking?

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Scale Factor is defined as the ratio of the size of the new image to the size of the old image. The center of dilation is a fixed point in the plane. Based on the scale factor and the center of dilation, the dilation transformation is defined. If the scale factor is more than 1, then the image stretches.

For example, if a square is dilated and the side of the smaller (original) square is 4 units and the side of the dilated square (enlarged) is 12 units, then, in this case, the scale factor will be: 12 ÷ 4 = 3.

Perform a Dilation of 4 on point A (2, 3) which you can see in the picture below. Multiply the coordinates of the original point (2, 3), called the image, by 4. Image's coordinates = (2 * 4, 3 * 4) to get the coordinates of the image (8, 12).

And so if you dilate it with a factor of three, then you're going to want to go three times as far down. So minus three, and three times as far to the left, so you'll go minus six.

The basic formula to find the scale factor of a dilated figure is: Scale factor = Dimension of the new shape ÷ Dimension of the original shape.

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Answer:

can yoy show modl

Step-by-step explanation:

The factor that is important to consider when building a savings fund for planned, long-term needs is Using investments to grow your savings. Option B

When building a savings fund for planned, long-term needs, it is important to consider factors that can help your savings grow over time. One such factor is using investments.

By investing your savings in various investment vehicles like stocks, bonds, mutual funds, or real estate, you have the potential to earn a higher return on your money compared to traditional savings accounts. Investments can provide growth and increase the value of your savings over the long term.

Therefore, the most relevant factor to consider when building a savings fund for planned, long-term needs is using investments to grow your savings.

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Answer:

6;8

3;4 that the lowest that it can go. the equivalent is 6;8 but if you want to change it into decimal form you can divide by two which is 1.5;2 but the answer is 6;8 because 3;4 is already in it's lowest form, or is already simplified to it's maximum extent.

Answer:

jbckjsdbkjsbx

Step-by-step explanation:

The ladder will reach a Height of approximately 43.46 meters on the building.

To find out how high on the building the ladder will reach, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the ladder forms a right triangle with the ground and the building. The base of the ladder is 7 meters, the height of the building is what we need to find, and the length of the ladder is given as 44 meters.

Using the Pythagorean theorem, we can set up the equation:

(Height of the building)^2 + 7^2 = 44^2

Simplifying the equation, we have:

(Height of the building)^2 + 49 = 1936

Subtracting 49 from both sides, we get:

(Height of the building)^2 = 1887

To find the height of the building, we take the square root of both sides:

Height of the building = √1887

Calculating the square root of 1887, we find that the height of the building is approximately 43.46 meters.

Therefore, the ladder will reach a height of approximately 43.46 meters on the building.

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Answer:

\(8 \frac{4}{13} \: min\)

Step-by-step explanation:

\(t = \frac{s}{v} = \frac{1.8}{13} = \frac{9}{65} h\)

In will be better, if we convert the hours into minutes, since there isn't even one full hour (we have to multiply the hours by 60, since one hour has 60 minutes):

\( \frac{9}{65} \times \frac{60}{1} = \frac{108}{13} = 8 \frac{4}{13} \: min\)

Answer: 7/5

Step-by-step explanation:

\(12x-15=6-3x\\\\15x-15=6\\\\15x=21\\\\\boxed{x=21/15 \ or\ 7/5}\)

The number of bacteria after 1.5 hours is 320,000.

Given,

The doubling period of a bacteria culture is 15 minutes.

Initially, the culture has 5000 bacteria.

We need to determine the number of bacteria there will be after 1.5 hours.

We have,

The number of bacteria gets double every 15 minutes.

Number of bacteria at initial stage = 5000

In 1.5 hours we have 90 minutes.

1.5 hours = 1 hour and 30 minutes

1 hour = 60 minutes

1.5 hours = 90 minutes.

In 90 minutes we have 6 times 15 minutes.

First 15 minutes,

The number of bacteria would be = 2 x 5000 = 10,000

Now next 15 minutes,

10,000 x 2 = 20,000

Next 15 minutes,

20,000 x 2 = 40,000

Next 15 minutes,

40,000 x 2 = 80,000

Next 15 minutes,

80,000 x 2 = 160,000

Next 15 minutes,

160,000 x 2 = 320,000

We can also write it as 5000 x 2^6 = 320,000

Thus the number of bacteria after 1.5 hours is 320,000.

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Answer:

8.90

Step-by-step explanation:

178 * 5% = 8.90

We would apply the formula for determining the length of an arc which is expressed as

length of arc = θ/360 x 2 x pi x radius

From the information given,

radius = 4000

length of arc = 8000

θ is in degrees

pi = 3.14

By substituting the values into the formula, we have

8000 = θ/360 x 2 x 3.14 x 4000

8000 = 69.78θ

θ = 8000/69.78

θ = 114.65 degrees

The next step is to convert from degrees to radians. Recall

pi x radian = 180 degrees

We would multiply the degrees by pi/180. We have

114.65 x 31.4/180 = 2

The angle in radians is 2 radians

Answer:

30

Step-by-step explanation:

Well round 902 down to 900, then round down 31 to 30.

Therefore 900 divided by 30 is 30.

So an estrimate answer to 902 divided by 31 is 30.

Answer:

Step-by-step explanation:

B = √(R² - A²)

Divide number that like hockey by population then multiply by 100:

14,000 / 117,000 = 0.11965

0.11965 x 100 = 11.965%

Round up to 12%

Answer:

Step-by-step explanation:

It’s c

Answer:

c

Step-by-step explanation: